K is a set of numbers such that
i. if x is in K, then -x is in K, and
ii. if each of x and y is in K, then xy is in K.
Is 12 in K?
1. 2 is in K
2. 3 is in K
OA: C
Source: No. 70.,OG Quant Review, 2nd Edition
Number properties problem
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- aneesh.kg
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12 = 2*2*3 = (2)*(-2)*(-3)HG10 wrote:K is a set of numbers such that
i. if x is in K, then -x is in K, and
ii. if each of x and y is in K, then xy is in K.
Is 12 in K?
1. 2 is in K
2. 3 is in K
OA: C
Source: No. 70.,OG Quant Review, 2nd Edition
For 12 to be there in K, we need two 2s and a 3.
Statement(1):
We have a 2 and a (-2) and thus a (-2)*(2) as well. But, we need 3 also. No information on that.
INSUFFICIENT
Statement(2):
We have a 3 and a (-3). But, we need a 2 also. No information on that.
INSUFFICIENT
Let's combine.
The simplest of all is (2)*(-2)*(-3) = 12
SUFFICIENT
[spoiler](C)[/spoiler] is the answer.
Last edited by aneesh.kg on Sat May 26, 2012 7:02 am, edited 1 time in total.
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